An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions
We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures of noncompactness and the theory of condensin...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/952782 |
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| author | Fang Li Gaston M. N'Guérékata |
| author_facet | Fang Li Gaston M. N'Guérékata |
| author_sort | Fang Li |
| collection | DOAJ |
| description | We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures of noncompactness and the theory of condensing maps. Two examples are given to illustrate the existence theorem. |
| format | Article |
| id | doaj-art-c5c2a9384d6849e8917e28f4a8dee4fe |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c5c2a9384d6849e8917e28f4a8dee4fe2025-08-20T03:22:42ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/952782952782An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal ConditionsFang Li0Gaston M. N'Guérékata1School of Mathematics, Yunnan Normal University, Kunming 650092, ChinaDepartment of Mathematics, Morgan State University, 1700 East Cold Spring Lane, Baltimore, MD 21251, USAWe study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures of noncompactness and the theory of condensing maps. Two examples are given to illustrate the existence theorem.http://dx.doi.org/10.1155/2011/952782 |
| spellingShingle | Fang Li Gaston M. N'Guérékata An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions Abstract and Applied Analysis |
| title | An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions |
| title_full | An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions |
| title_fullStr | An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions |
| title_full_unstemmed | An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions |
| title_short | An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions |
| title_sort | existence result for neutral delay integrodifferential equations with fractional order and nonlocal conditions |
| url | http://dx.doi.org/10.1155/2011/952782 |
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